$(20$ pts$)$ You are designing the software for daily reports for our recycling center. The center recycles paper,

plastic, and metal. All of our recyclables have a description. Paper has a type. Plastic has a number. Each metal is

either ferrous or nonferrous. Each day we receive so many tons of each type of recyclable. We need to be able to

capture that information so that we can generate a daily report.

Scenario: On $10/7/2014,$ we received $5$ tons of newspaper, $3\mathrm{.}5$ tons of PET $($#$1)$ plastic, and $1$ ton of steel, which is

a ferrous metal. On $10/8/2014,$ we received $2$ tons of newspaper and $0\mathrm{.}5$ tons of aluminum, which is a nonferrous

metal. We currently have $23$ tons of newspaper, $14$ tons of PET $($#$1)$ plastic, and $5$ tons of steel on hand.

a$)$ Draw a UML class diagram for a design that solves this problem. Be sure to indicate any aggregation and$/$or

composition.

b$)$ Draw a UML object diagram for this scenario. Be sure you capture everything in the scenario.